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Rama09
3 months ago
10

Toni makes apple pies for the local bakery. When Toni works with an assistant, she produces 60% more apple pies and works 20% fe

wer hours. Having an assistant increases Toni’s output of apple pies per hour by what percent?
Business
2 answers:
stepan [3.5K]3 months ago
8 0

Respuesta: η = 200 %

Justificación:

Cuando Toni cocina sola produce n tartas en un tiempo t.

Matemáticamente se expresa como:

Producción = Cantidad producida / Tiempo

Producción 1 = n / t  ------------------ Ecuación 1

Al trabajar con un asistente, Toni incrementa su producción en 60% mientras reduce el tiempo en un 20%:

Cantidad = n + 0.6 n = 1.6 n, tiempo = t - 0.2 t = 0.8 t

Producción 2 = 1.6 n / 0.8 t --------------- Ecuación 2

El porcentaje de aumento η es:

η = 100% × (Producción 2 / Producción 1)

η = 100% × (1.6 n / 0.8 t) / (n / t)

η = 200 %

stepan [3.5K]3 months ago
6 0

Respuesta:

La respuesta es 200%.

Explicación:

Supongamos que Toni produce x tartas de manzana en y horas.

Esto significa que el ritmo de producción es \frac{x}{y} tartas por hora.

Trabajando con un asistente:

Toni incrementa su producción en un 60%, es decir, ahora hace x + 0.6x = 1.6x tartas.

Además, reduce su tiempo trabajando en un 20%, entonces trabaja y - 0.2y = 0.8y horas.

Por lo tanto, la tasa de producción con ayuda es 1.6x / 0.8y = \frac{\frac{1.6x}{0.8y} }{\frac{x}{y} } X 100.

Al simplificar, obtenemos un aumento del 200% en la producción por hora.

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Credit Cash $3,600

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Credit Service Revenue $11,500

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Credit Accounts Payable $500

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Credit Accounts Receivable $10,000

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Debit Utilities $680

Credit Accounts Payable $680

To document utility costs.

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Credit Cash $20

To register interest payment on notes payable.

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Credit Cash $900

To document dividend payment.

Debit Equipment $4,000

Credit Cash $4,000

To document cash used for purchasing sound equipment.

b. T-Accounts:

Cash

Description                 Debit       Credit         Balance

Balance                                                        $5,000

Accounts payable                        $600        4,400

Rent                                              3,600           800

Accounts receivable 10,000                        10,800

Wages                                          2,400        8,400

Interest                                              20        8,380

Dividend                                         900         7,480

Equipment                                  4,000         3,480

                             

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Description           Debit       Credit         Balance

Balance                                                  $5,200

Service Revenue 11,500                         16,700

Cash                                      10,000       6,700

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Description           Debit       Credit         Balance

Cash                  $4,000                           $4,000

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Description           Debit       Credit       Balance

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Description           Debit       Credit       Balance

Balance                                                  $1,000

Cash                   $600                               400

Advertising                           $500            900

Utilities                                    680          1,580

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Description        Debit       Credit       Balance

Balance                                                $5,500

                     Retained Earnings

Description       Debit       Credit        Balance

Balance                                                $1,200

Dividends        $900                                300

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Description           Debit       Credit       Balance

Accounts receivable           $11,500      $11,500

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Description           Debit       Credit       Balance

Cash                   $3,600                        $3,600

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Description           Debit       Credit        Balance

Accounts payable $500                           $500

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Description          Debit       Credit         Balance

Cash                 $2,400                           $2,400

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Cash                      $20                              $20

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T-accounts serve as general ledger accounts that summarize transactions and compute the balance for each account.

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